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Description: Use the Heine-Borel Property from (5.1), which states that a set of real numbers is compact if andonly if it is closed and bounded, to show that the set A = {0, 1,1/2,1/3,...} is compact.

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Use the Heine-Borel Property from (5.1), which states that a set of real numbers is compact if and only if it is closed and bounded, to show that the set A = {0, 1,1/2,1/3,...} is compact.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter2: Equations And Inequalities

Section2.4: Complex Numbers

Problem 59E

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Use the Heine-Borel Property from (5.1), which states that a set of real numbers is compact if and
only if it is closed and bounded, to show that the set A = {0, 1,1/2,1/3,...} is compact.

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